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An elementary treatise on elliptic functions


Published 1961
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Book digitized by Google from the library of the New York Public Library and uploaded to the Internet Archive by user tpb.

"An unabridged and corrected republication of the second edition ... published ... in 1895."


Publisher update forthcoming
Year 1876
Pages 411
Possible copyright status NOT_IN_COPYRIGHT
Language English
Digitizing sponsor Google
Book from the collections of New York Public Library
Collection americana

Full catalog record MARCXML

[Open Library icon]This book has an editable web page on Open Library.

Reviews

Reviewer: a e b - - August 2, 2013
Subject: A strange book, but excellent
Cayley is known for his 13 volumes of collected papers (with a 14th index volume), and his revisions of George Salmon's 'Higher Plane Curves'. As far as I know this is the only monograph he has actually written. It has more material on elliptic functions than you will probably ever need. It has unexpected things, like an expansion formula for the elliptic sine of 7 times an angle ( sn 7u ) in terms of the angle functions ( sn u, cn u and dn u). It has incredible change-of-base formulas for the elliptic parameter k. I know of no other book that goes into such meticulous computations with elliptic function and elliptic integrals. I reccomend it highly to anyone interested in elliptic functions or elliptic integrals. Being a product of the 19th century, it is missing one thing that moderns could desire: numeric algorithms for efficiently computing these functions. But these exist in modern literature for scientific computer programming. So read the book and get some software algorithms to compute whatever you need.
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